221021020080 has 240 divisors, whose sum is σ = 848738040384. Its totient is φ = 50492989440.

The previous prime is 221021020079. The next prime is 221021020081. The reversal of 221021020080 is 80020120122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221021020079) and next prime (221021020081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221021020081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10760220 + ... + 10780740.

Almost surely, 2^221021020080 is an apocalyptic number.

221021020080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424369020192).

221021020080 is an abundant number, since it is smaller than the sum of its proper divisors (627717020304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221021020080 is a wasteful number, since it uses less digits than its factorization.

221021020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22684 (or 22675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 221021020080 in words is "two hundred twenty-one billion, twenty-one million, twenty thousand, eighty".